What is the 289th prime number?
The 289th prime number is 1879. The next prime is 1889 (a gap of 10) and the one before is 1877.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 289th one is 1879.
- 2
1879 is prime because no prime up to ā1879 ā 43.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 289th prime is close to 289 Ć ln(289) ā 1638, and here it is 1879.
- 4
1879 is a twin prime: 1877 and 1879 are both prime.
Primes around the 289th
| Position | Prime | Gap from the previous |
|---|---|---|
| 286 | 1871 | 4 |
| 287 | 1873 | 2 |
| 288 | 1877 | 4 |
| 289 | 1879 | 2 |
| 290 | 1889 | 10 |
| 291 | 1901 | 12 |
| 292 | 1907 | 6 |
Questions
What is the 289th prime number?
1879.
Which prime number is 1879?
1879 is the 289th prime number.
What is the sum of the first 289 primes?
249,748.